Question
Find the polynomial having roots at $ 30 $ , $ 5 $ , $ 19 $ and $ 38 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-92x^3+2867x^2-33820x+108300 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 30 $ | $ x-30 $ |
| $ 5 $ | $ x-5 $ |
| $ 19 $ | $ x-19 $ |
| $ 38 $ | $ x-38 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-30 \right) \cdot \left( x-5 \right) \cdot \left( x-19 \right) \cdot \left( x-38 \right) = x^4-92x^3+2867x^2-33820x+108300 $$This page was created using
Polynomial From Roots Calculator